| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 Part (i) is straightforward recall of negative fractional indices (1/12). Part (ii) requires rationalizing denominators and combining fractions—a standard C1 exercise with clear method but multiple algebraic steps. Both parts are routine textbook questions with no problem-solving insight required, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
5 (i) Find the value of $144 ^ { - \frac { 1 } { 2 } }$.\\
(ii) Simplify $\frac { 1 } { 5 + \sqrt { 7 } } + \frac { 4 } { 5 - \sqrt { 7 } }$. Give your answer in the form $\frac { a + b \sqrt { 7 } } { c }$.
\hfill \mbox{\textit{OCR MEI C1 2010 Q5 [5]}}